#8030: Strong generating system returns heavy error for non transitive group
-----------------------------+----------------------------------------------
   Reporter:  nborie         |       Owner:  joyner      
       Type:  defect         |      Status:  needs_review
   Priority:  critical       |   Milestone:  sage-4.4    
  Component:  group_theory   |    Keywords:              
     Author:  Nicolas Borie  |    Upstream:  N/A         
   Reviewer:                 |      Merged:              
Work_issues:                 |  
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Changes (by newvalueoldvalue):

  * author:  => Nicolas Borie


Comment:

 Hi Nicolas!

 The tests are running.

 For the record: I tried to compare the results in the new doctests
 with GAP, and I get the following difference:

 {{{
 gap> G := Group([ (1,2) (3,4), (1,2,3,4,10) ]);
 Group([ (1,2)(3,4), (1,2,3,4,10) ])
 gap> Stabilizer(G, 10);
 Group([ (1,2)(3,4), (2,3,4) ])
 }}}

 {{{
 sage: G = PermutationGroup([[(1,2),(3,4)], [(1,2,3,4,10)]])
 sage: G.stabilizer(10)
 Permutation Group with generators [(), (1,2)(3,4), (1,2,3), (1,2,4),
 (1,3,2), (1,3,4), (1,4,2)]
 }}}

 Well, in fact the results are equal:

 {{{
 sage: G2 = PermutationGroup( [ [(1,2),(3,4)], [(2,3,4)] ])
 sage: G.stabilizer(10) == G2
 True
 }}}

 but GAP's result is nicer.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8030#comment:4>
Sage <http://www.sagemath.org>
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